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122452221203041 = 1723164127077877
BaseRepresentation
bin11011110101111010100001…
…001001011001001001100001
3121001120022120211121020021111
4123311322201021121021201
5112022224122111444131
61112233435051423321
734535611123404502
oct3365724111311141
9531508524536244
10122452221203041
1136020771601134
1211898089154b41
13534326c2b5602
142234a0d40cba9
15e253e38caab1
hex6f5ea1259261

122452221203041 has 48 divisors (see below), whose sum is σ = 134551337236992. Its totient is φ = 111302170214400.

The previous prime is 122452221203023. The next prime is 122452221203047. The reversal of 122452221203041 is 140302122254221.

It is not a de Polignac number, because 122452221203041 - 215 = 122452221170273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122452221202994 and 122452221203012.

It is not an unprimeable number, because it can be changed into a prime (122452221203047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15545536395 + ... + 15545544271.

It is an arithmetic number, because the mean of its divisors is an integer number (2803152859104).

Almost surely, 2122452221203041 is an apocalyptic number.

It is an amenable number.

122452221203041 is a deficient number, since it is larger than the sum of its proper divisors (12099116033951).

122452221203041 is a wasteful number, since it uses less digits than its factorization.

122452221203041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 122452221203041 its reverse (140302122254221), we get a palindrome (262754343457262).

The spelling of 122452221203041 in words is "one hundred twenty-two trillion, four hundred fifty-two billion, two hundred twenty-one million, two hundred three thousand, forty-one".

Divisors: 1 17 31 289 527 641 2707 7877 8959 10897 19871 46019 83917 133909 185249 244187 337807 782323 1426589 1735187 2276453 4151179 5049157 5742719 21323039 24252013 29498179 53790797 70570043 85835669 156523867 362491663 501469043 661014209 914443549 1459206373 2660905739 6162358271 11237241553 13668067999 15545540333 45235397563 191033106401 232357155983 423710107969 3950071651711 7203071835473 122452221203041